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Research Papers: Multiphase Flows

Multiphase Sloshing and Interfacial Wave Interaction With a Baffle and a Submersed Block

[+] Author and Article Information
Obai Kargbo

State Key Laboratory of Hydrology-Water
Resources and Hydraulic Engineering,
College of Harbour Coastal and
Offshore Engineering,
Hohai University,
Nanjing 210098, China
e-mail: obaikargbo@yahoo.co.uk

Mi-An Xue

State Key Laboratory of Hydrology-Water
Resources and Hydraulic Engineering,
College of Harbour Coastal and
Offshore Engineering,
Hohai University,
Nanjing 210098, China;
State Key Laboratory of Hydraulic Engineering
Simulation and Safety,
Tianjin University,
Tianjin 300072, China
e-mail: mi-anxue@163.com

Jinhai Zheng

State Key Laboratory of Hydrology-Water
Resources and Hydraulic Engineering,
College of Harbour Coastal and
Offshore Engineering,
Hohai University,
Nanjing 210098, China
e-mail: jhzheng@hhu.edu.cn

1Corresponding authors.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 30, 2018; final manuscript received November 1, 2018; published online January 7, 2019. Assoc. Editor: Ning Zhang.

J. Fluids Eng 141(7), 071301 (Jan 07, 2019) (15 pages) Paper No: FE-18-1376; doi: 10.1115/1.4041988 History: Received May 30, 2018; Revised November 01, 2018

A numerical model of a rectangular tank containing a layered liquid is modeled for studying layered sloshing wave. The Arbitrary Lagrangian Eulerian method is used to track the development for both the interfacial and free surface of the fluid domain. A series of cases are simulated for baffled and unbaffled sloshing with various excitation frequencies and various baffle configurations. A case containing a submerged block is also simulated to observe the interfacial wave interaction with the block structure and to observe how the position and size of the block affect the interfacial wave in a fluid. Velocity screenshots are analyzed for observing the velocity distribution in the layers and to observe the behavior of the interfacial layer for baffled and unbaffled tank cases. A fast Fourier transform spectral analysis of the layered liquid sloshing time series for both the interfacial layer and free surface layer is presented to observe the energy in the fluid layers as well as to observe the dominant peak frequency for both the layers.

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Figures

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Fig. 1

Diagram of unbaffled model tank containing two immiscible fluids

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Fig. 2

Free surface time series at probe 2 for internal and free surface waves for various mesh sizes

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Fig. 3

Free surface time series at probe 1 for internal and free surface waves for various mesh sizes

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Fig. 4

Two-dimensional rectangular tank with vertical baffle

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Fig. 5

Comparison of present numerical results (bold line) compared with results obtained from Belakroum et al. [30] (dotted line) of relative elevation time series for vertical baffle placed at: (a) the bottom of the tank and (b) near the free surface

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Fig. 6

Comparison of present numerical results compared with numerical and experimental results obtained from Xue and Zheng [31] of relative elevation time series at (a) probe 2 and (b) probe 3

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Fig. 7

Comparison of snapshots of layered sloshing profiles at t = 0.0 s, 1.2 s, 1.65 s, 2.1 s, 2.55 s, and 3.25 s between the present numerical simulation and experimental and numerical results from Xue and Zheng [31]

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Fig. 8

Diagram of model tank containing two immiscible fluids with vertical baffle attached at the bottom of the tank

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Fig. 9

Diagram of model tank containing two immiscible fluids with a central vertical baffle at a distance b from the tank bottom

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Fig. 10

Internal wave (the line starting at 0.10 m) and free surface wave (the line starting at 0.15 m) time displacement for sloshing under various frequencies with the corresponding spectral analysis for internal and the free surface waves for Tank setup-A of an unbaffled tank with tank parameters as given in Table 2

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Fig. 11

Tank setup for two-layered sloshing with three wave gauges

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Fig. 12

Maximum wave height for interfacial wave in comparison with the free surface wave under various excitation frequencies and various layer heights

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Fig. 13

Internal wave (black) and free surface wave (red) time displacement for sloshing under various frequencies with the corresponding spectral analysis for internal and the free surface waves in a baffled tank as described by Fig. 9 with parameters of tank setup-D as shown in Table2

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Fig. 14

Free surface elevation at probe 1 for tank setups A, B, C, D, and E as given by Table 2 with (a) interfacial wave time series and (b) free surface wave time series

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Fig. 15

Free surface elevation at probe 2 for tank setups A, B, C, D, and E as given by Table 2 with (a) interfacial wave time series and (b) free surface wave time series

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Fig. 16

Free surface elevation at probe 3 for tank setups A, B, C, D, and E as given by Table 2 with (a) interfacial wave time series and (b) free surface wave time series

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Fig. 17

Comparison of snapshots of layered sloshing profile for different baffle configurations on interfacial wave at 3.47 s

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Fig. 18

Comparison of snapshots of layered sloshing profile for different baffle configurations on interfacial wave at 4.06 s

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Fig. 19

Rectangular tank of length L and fluid fill levels of h1 and h2 with a rigidly fitted submerged block at the bottom of the tank at a distance x from the left tank wall

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Fig. 20

Interfacial wave time series of submerged block of block length B = 0.2 m for various positions of the block and the corresponding spectral analysis

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Fig. 21

Interfacial wave time series of submerged block of block length B = 0.3 m for various positions of the block and the corresponding spectral analysis

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Fig. 22

Velocity profile snapshot comparison for layered sloshing in a tank with a rigidly fixed submerged block of size B = 0.03 m at positions x = 0.285 m, x = 0.185 m, and x = 0.085 m

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